
Time bar (total: 13.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 31 to 24 computations (22.6% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 392.0ms (50.2% of total)ival-sub: 202.0ms (25.9% of total)ival-div: 106.0ms (13.6% of total)ival-add: 56.0ms (7.2% of total)exact: 17.0ms (2.2% of total)ival-true: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 0 | - | 2 | (-1.578302775673775e-288 1.081025317878823e-159 3381640581423.7544) | (*.f64 (*.f64 w w) r) |
| 22 | 44 | (-4.098176635304649e-252 -9.550949337154227e-173 -2.958292247320668e+107) | 0 | - | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
| 21 | 35 | (-4.098176635304649e-252 -9.550949337154227e-173 -2.958292247320668e+107) | 1 | (-1.057982194523404e+197 2.9113952871279824e-181 -3.904117913623433e+23) | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 15 | 44 | (-4.098176635304649e-252 -9.550949337154227e-173 -2.958292247320668e+107) | 3 | (-5.291830751882306e+293 4.383303945179778e-44 5.5292329265188765e-261) | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| 4 | 0 | - | 4 | (-3.738022556917168e+117 3.76059919176075e+247 2.4716923072323723e+154) | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9/2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1/8 binary64) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 0 | 0 | - | 0 | - | (*.f64 w w) |
| 0 | 0 | - | 0 | - | (*.f64 r r) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
| 0 | 50 | (-2.3776188562158135e+253 4.492382882944087e+296 1.1121519752545563e-148) | 0 | - | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 0 | 72 | (-8.664753037663643e-218 0.749522136974734 9.242313026454557e+206) | 0 | - | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) v) |
| 0 | 56 | (-2.3776188562158135e+253 4.492382882944087e+296 1.1121519752545563e-148) | 0 | - | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) v) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | w |
| 0 | 0 | - | 0 | - | r |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | oflow-right | 72 | 0 |
-.f64 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | oflow-left | 50 | 0 |
-.f64 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) | oflow-left | 35 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) | o/n | 32 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | overflow | 62 | |
| ↳ | (*.f64 w w) | overflow | 60 | |
| ↳ | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | overflow | 97 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 75 | |
-.f64 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) | oflow-right | 21 | 0 |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 21 | 0 |
*.f64 | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | n*o | 16 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*o | 15 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 11 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) | u/n | 11 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | underflow | 59 | |
| ↳ | (*.f64 w w) | underflow | 69 | |
| ↳ | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | underflow | 46 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | underflow | 61 | |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*u | 11 | 0 |
*.f64 | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | n*u | 5 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 43 | 0 |
| - | 62 | 151 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 43 | 0 | 0 |
| - | 62 | 0 | 151 |
| number | freq |
|---|---|
| 0 | 151 |
| 1 | 37 |
| 2 | 7 |
| 3 | 33 |
| 4 | 11 |
| 5 | 1 |
| 6 | 11 |
| 7 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 512× | 0 | valid |
Compiled 477 to 151 computations (68.3% saved)
ival-mult: 20.0ms (49.6% of total)ival-sub: 9.0ms (22.3% of total)ival-div: 7.0ms (17.3% of total)ival-add: 2.0ms (5% of total)exact: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16 612× | lower-fma.f64 |
| 16 612× | lower-fma.f32 |
| 6 932× | lower-*.f32 |
| 6 918× | lower-*.f64 |
| 1 710× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 268 |
| 1 | 270 | 264 |
| 2 | 1038 | 246 |
| 3 | 3557 | 243 |
| 4 | 7112 | 243 |
| 0 | 22 | 29 |
| 0 | 36 | 29 |
| 1 | 72 | 29 |
| 2 | 184 | 25 |
| 3 | 713 | 25 |
| 4 | 3939 | 25 |
| 5 | 7914 | 25 |
| 0 | 8146 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(abs r)
(abs w)
Compiled 32 to 22 computations (31.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
Compiled 32 to 22 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) | |
| cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) | |
| cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 16 612× | lower-fma.f64 |
| 16 612× | lower-fma.f32 |
| 6 932× | lower-*.f32 |
| 6 918× | lower-*.f64 |
| 1 710× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 146 |
| 0 | 36 | 146 |
| 1 | 72 | 146 |
| 2 | 184 | 134 |
| 3 | 713 | 134 |
| 4 | 3939 | 134 |
| 5 | 7914 | 134 |
| 0 | 8146 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w))) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 w w) r) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.0536240719848595 | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | |
| accuracy | 4.877233847300723 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 5.18649834633413 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) | |
| accuracy | 8.5173999160152 | (*.f64 (*.f64 w w) r) |
| 37.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-mult: 10.0ms (39.3% of total)ival-sub: 7.0ms (27.5% of total)ival-div: 6.0ms (23.6% of total)ival-add: 1.0ms (3.9% of total)exact: 1.0ms (3.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))> |
#<alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))> |
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))> |
#<alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))> |
#<alt (*.f64 (*.f64 w w) r)> |
#<alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))> |
#<alt (*.f64 (*.f64 (*.f64 w w) r) r)> |
#<alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
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#<alt 3> |
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#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | r | @ | 0 | (* (* w w) r) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | v | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) |
| 1.0ms | r | @ | 0 | (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) |
| 1× | egg-herbie |
| 14 382× | lower-fma.f64 |
| 14 382× | lower-fma.f32 |
| 5 144× | lower-+.f64 |
| 5 144× | lower-+.f32 |
| 4 118× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2580 | 3578 |
| 0 | 8212 | 3390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
3 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(-.f64 (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(fma.f64 v (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 3 binary64) (*.f64 r r)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(*.f64 (*.f64 r r) (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (/.f64 #s(literal 3 binary64) (*.f64 r r)))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(*.f64 (*.f64 r r) (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (/.f64 #s(literal 3 binary64) (*.f64 r r)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
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(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
| 6 012× | lower-*.f32 |
| 5 998× | lower-*.f64 |
| 5 632× | lower-fma.f64 |
| 5 632× | lower-fma.f32 |
| 4 766× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(*.f64 (*.f64 w w) r) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))) |
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(*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v))))) |
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 w (*.f64 w (*.f64 r r))) |
(*.f64 w (*.f64 (*.f64 r w) r)) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(*.f64 (*.f64 w (*.f64 r w)) r) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w)))) |
(*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 w (*.f64 r w)) (*.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) r) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r)) |
(*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
Compiled 29 622 to 2 010 computations (93.2% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 19 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 597 | 19 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.0% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
| 61.0% | (fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) | |
| 90.7% | (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) | |
| 47.1% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64)) | |
| 58.5% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 91.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64)) | |
| ▶ | 97.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| 75.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)) | |
| 97.1% | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| 43.3% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| 53.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))) | |
| ▶ | 40.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| ▶ | 75.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| ▶ | 78.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
| 73.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) | |
| 83.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 54.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| 57.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) | |
| 36.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))) |
Compiled 1 106 to 692 computations (37.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) | |
| cost-diff | 192 | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) | |
| cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 576 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) | |
| cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
| 25 016× | lower-fma.f32 |
| 25 006× | lower-fma.f64 |
| 6 426× | lower-*.f32 |
| 6 406× | lower-*.f64 |
| 2 638× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 514 |
| 0 | 95 | 506 |
| 1 | 217 | 488 |
| 2 | 605 | 488 |
| 3 | 2628 | 488 |
| 4 | 6215 | 488 |
| 0 | 8212 | 469 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(*.f64 w w) |
w |
(*.f64 #s(literal 3/8 binary64) (*.f64 r r)) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1/8 binary64) v) |
#s(literal 1/8 binary64) |
v |
#s(literal 1/4 binary64) |
#s(literal -3/2 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 r (*.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)))) #s(literal -3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 r (*.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 (*.f64 w (*.f64 r w)) #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 (*.f64 w (*.f64 r w)) #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(*.f64 w w) |
w |
(*.f64 #s(literal 3/8 binary64) (*.f64 r r)) |
(*.f64 r (*.f64 r #s(literal 3/8 binary64))) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w (*.f64 r w)) |
(*.f64 w w) |
w |
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(/.f64 #s(literal 1/8 binary64) v) |
#s(literal 1/8 binary64) |
v |
#s(literal 1/4 binary64) |
#s(literal -3/2 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 r (*.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)))) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(fma.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 r (*.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 w (*.f64 r w)) |
w |
(*.f64 r w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 9/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| accuracy | 0.10384750976844202 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) | |
| accuracy | 0.13671875 | (*.f64 w (*.f64 r w)) | |
| accuracy | 5.997369495507783 | (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 4.877233847300723 | (*.f64 r (*.f64 r (*.f64 w w))) | |
| accuracy | 8.5173999160152 | (*.f64 r (*.f64 w w)) | |
| accuracy | 10.655825316045863 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) | |
| accuracy | 0.13671875 | (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 5.946910778896522 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| accuracy | 13.12999057296371 | (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 38.21379984644581 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| accuracy | 0.078125 | (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 0.13671875 | (*.f64 w (*.f64 r w)) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 4.877233847300723 | (*.f64 r (*.f64 w (*.f64 r w))) |
| 126.0ms | 256× | 0 | valid |
Compiled 491 to 59 computations (88% saved)
ival-mult: 61.0ms (63.3% of total)ival-sub: 15.0ms (15.6% of total)ival-div: 11.0ms (11.4% of total)ival-add: 7.0ms (7.3% of total)exact: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))> |
#<alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))> |
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))))> |
#<alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))> |
#<alt (*.f64 r r)> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))> |
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))> |
#<alt (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))> |
#<alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))> |
#<alt (/.f64 #s(literal 2 binary64) r)> |
#<alt (*.f64 r (*.f64 w (*.f64 r w)))> |
#<alt (*.f64 w (*.f64 r w))> |
#<alt (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))> |
#<alt (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))> |
#<alt (*.f64 #s(literal 3/8 binary64) (*.f64 r r))> |
#<alt (*.f64 r (*.f64 w w))> |
#<alt (*.f64 r (*.f64 r (*.f64 w w)))> |
#<alt (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))> |
#<alt (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))> |
| Outputs |
|---|
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))> |
#<alt 3> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt 3> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
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#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)> |
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt -3/2> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt -3/2> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))> |
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* 1/4 (* (pow r 2) (pow w 2)))> |
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* 3/8 (pow r 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))> |
#<alt (+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))> |
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)> |
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))> |
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | -inf | (* r r) |
| 1.0ms | w | @ | 0 | (- (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) 9/2) |
| 1.0ms | v | @ | 0 | (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) |
| 1.0ms | r | @ | 0 | (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) |
| 1.0ms | w | @ | inf | (- (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) 9/2) |
| 1× | egg-herbie |
| 17 540× | lower-fma.f64 |
| 17 540× | lower-fma.f32 |
| 5 480× | lower-*.f64 |
| 5 480× | lower-*.f32 |
| 3 978× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 355 | 12070 |
| 1 | 1167 | 11162 |
| 2 | 3914 | 10510 |
| 0 | 8275 | 9872 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
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(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
3 |
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3 |
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(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
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-3/2 |
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-3/2 |
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3/2 |
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(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
3/2 |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* 3/8 (pow r 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
9/2 |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
9/2 |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
| Outputs |
|---|
3/8 |
#s(literal 3/8 binary64) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(+ 3/8 (* -1/4 v)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(neg.f64 (*.f64 v (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(neg.f64 (*.f64 v (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(neg.f64 (*.f64 v (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(fma.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (pow w 2)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 r r) (*.f64 w (fma.f64 w v w))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(fma.f64 v (*.f64 (*.f64 r r) (*.f64 w (fma.f64 w v w))) (*.f64 r (*.f64 r (*.f64 w w)))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(fma.f64 v (fma.f64 v (*.f64 (*.f64 r r) (*.f64 w (fma.f64 w v w))) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 r (*.f64 r (*.f64 w w)))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (neg.f64 v)) |
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) (neg.f64 v)) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v) |
(/.f64 (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v)))) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v) |
(/.f64 (neg.f64 (fma.f64 (*.f64 r r) (*.f64 w (+.f64 w (/.f64 w (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v))) v) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (neg.f64 v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v)))) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 r r) (*.f64 w (+.f64 w (/.f64 w (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v))) v) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))) #s(literal 9/2 binary64)) |
(+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) |
(fma.f64 (*.f64 (*.f64 r r) (*.f64 v (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))) #s(literal 9/2 binary64))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) |
(+.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))))) #s(literal 9/2 binary64)) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) #s(literal 9/2 binary64))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v) #s(literal 9/2 binary64))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(+.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 r r) (/.f64 (*.f64 w w) (neg.f64 v)) (/.f64 (*.f64 (neg.f64 (*.f64 r r)) (*.f64 w (+.f64 (/.f64 w v) w))) (*.f64 v v))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)) |
(+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) v) #s(literal 9/2 binary64))) |
(+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v) #s(literal 9/2 binary64))) |
(+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))) |
9/2 |
#s(literal 9/2 binary64) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
9/2 |
#s(literal 9/2 binary64) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(fma.f64 (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
| 4 652× | lower-*.f32 |
| 4 632× | lower-*.f64 |
| 4 406× | lower-/.f32 |
| 4 394× | lower-/.f64 |
| 4 324× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 381 |
| 0 | 95 | 373 |
| 1 | 453 | 326 |
| 2 | 3958 | 326 |
| 0 | 9635 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(/.f64 #s(literal 2 binary64) r) |
(*.f64 r (*.f64 w (*.f64 r w))) |
(*.f64 w (*.f64 r w)) |
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r r)) |
(*.f64 r (*.f64 w w)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) |
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 v #s(literal 1/8 binary64)) #s(literal 3/8 binary64)) |
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) v) #s(literal -2 binary64) #s(literal 3/8 binary64)) |
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (fma.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64)) (-.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64))) (neg.f64 (-.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64)) |
(+.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 #s(literal -9/2 binary64) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(-.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))))) (/.f64 (*.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
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(/.f64 (fma.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64)) (+.f64 #s(literal 81/4 binary64) (/.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 81/4 binary64) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64))) (neg.f64 (+.f64 #s(literal 81/4 binary64) (/.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64))) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))) |
(/.f64 (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (-.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 81/4 binary64) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 81/4 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))))) (neg.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))))) |
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 81/4 binary64) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 81/4 binary64) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))) |
Compiled 70 521 to 3 042 computations (95.7% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 718 | 22 | 1 740 |
| Fresh | 9 | 5 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 730 | 29 | 1 759 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
| 98.9% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) | |
| 61.0% | (fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) | |
| 42.5% | (/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) | |
| 58.5% | (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 91.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64)) | |
| 59.6% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| 43.3% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| ▶ | 82.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| 42.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal 3/2 binary64)) (*.f64 r (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal 3/2 binary64))))) | |
| 40.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| 42.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))) | |
| 35.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) | |
| ✓ | 40.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 82.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) | |
| ▶ | 82.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
| 82.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) | |
| 82.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) | |
| 68.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) | |
| ▶ | 54.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
| 79.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) | |
| ✓ | 78.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
| 83.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 56.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) | |
| 42.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) | |
| 34.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) | |
| 35.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) | |
| 18.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) | |
| ▶ | 29.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
Compiled 1 543 to 850 computations (44.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) | |
| cost-diff | 0 | #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) | |
| cost-diff | 192 | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64))) | |
| cost-diff | 576 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
| 14 524× | lower-fma.f32 |
| 14 514× | lower-fma.f64 |
| 5 770× | lower-*.f32 |
| 5 752× | lower-*.f64 |
| 2 346× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 553 |
| 0 | 102 | 551 |
| 1 | 229 | 545 |
| 2 | 629 | 525 |
| 3 | 2126 | 525 |
| 4 | 4854 | 525 |
| 0 | 8073 | 519 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64))) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)) |
(*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
v |
#s(literal -1/4 binary64) |
#s(literal 3/8 binary64) |
(-.f64 #s(literal 1 binary64) v) |
(*.f64 r w) |
w |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) |
(*.f64 r r) |
r |
(*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
w |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) |
#s(literal -1/4 binary64) |
(/.f64 #s(literal 1/8 binary64) v) |
#s(literal 1/8 binary64) |
v |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) |
(*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) |
w |
(*.f64 (*.f64 r r) #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(/.f64 #s(literal 1/8 binary64) v) |
#s(literal 1/8 binary64) |
v |
#s(literal -1/4 binary64) |
(*.f64 r w) |
r |
w |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
(+.f64 (fma.f64 (*.f64 w (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64))) |
(fma.f64 (*.f64 w (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 w (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(/.f64 (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
v |
#s(literal -1/4 binary64) |
#s(literal 3/8 binary64) |
(-.f64 #s(literal 1 binary64) v) |
(*.f64 r w) |
w |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) |
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(*.f64 r r) |
r |
(*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
w |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) |
#s(literal -1/4 binary64) |
(/.f64 #s(literal 1/8 binary64) v) |
#s(literal 1/8 binary64) |
v |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) |
(fma.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))) #s(literal 3/2 binary64)) |
(*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) |
(*.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r r))) |
w |
(*.f64 (*.f64 r r) #s(literal 3/8 binary64)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r r)) |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) |
(*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) |
(/.f64 #s(literal 1/8 binary64) v) |
#s(literal 1/8 binary64) |
v |
#s(literal -1/4 binary64) |
(*.f64 r w) |
r |
w |
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2890625 | (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.033492934236592 | (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) | |
| accuracy | 10.655825316045863 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.386437567967664 | (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) | |
| accuracy | 5.946910778896522 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) | |
| accuracy | 8.515127924233548 | (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) | |
| accuracy | 0.12109375 | (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) | |
| accuracy | 10.655825316045863 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) | |
| accuracy | 17.078914101013762 | (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) | |
| accuracy | 30.15363032629504 | #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 5.946910778896522 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) | |
| accuracy | 32.67805165942403 | #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) | |
| accuracy | 0.020195019536884032 | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64))) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) | |
| accuracy | 0.10384750976844202 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
| 181.0ms | 256× | 0 | valid |
Compiled 456 to 66 computations (85.5% saved)
ival-mult: 84.0ms (54.3% of total)ival-div: 49.0ms (31.6% of total)ival-add: 13.0ms (8.4% of total)ival-sub: 8.0ms (5.2% of total)exact: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64))))> |
#<alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))> |
#<alt (/.f64 #s(literal 2 binary64) r)> |
#<alt (/.f64 #s(literal 1 binary64) r)> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))> |
#<alt (*.f64 r r)> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))> |
#<alt #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))> |
#<alt (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))> |
#<alt (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))> |
#<alt (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w))> |
#<alt (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))> |
#<alt (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))> |
#<alt (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64))> |
#<alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))> |
#<alt (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))> |
#<alt (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64)))> |
#<alt (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt -3/2> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt -3/2> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
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#<alt (/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)> |
#<alt (/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)> |
#<alt (/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)> |
#<alt (* -1/4 (* r w))> |
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))> |
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))> |
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))> |
#<alt (* -1/4 (* r w))> |
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))> |
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))> |
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))> |
#<alt (/ 1/8 v)> |
#<alt (/ (+ 1/8 (* -1/4 v)) v)> |
#<alt (/ (+ 1/8 (* -1/4 v)) v)> |
#<alt (/ (+ 1/8 (* -1/4 v)) v)> |
#<alt -1/4> |
#<alt (- (* 1/8 (/ 1 v)) 1/4)> |
#<alt (- (* 1/8 (/ 1 v)) 1/4)> |
#<alt (- (* 1/8 (/ 1 v)) 1/4)> |
#<alt -1/4> |
#<alt (- (* 1/8 (/ 1 v)) 1/4)> |
#<alt (- (* 1/8 (/ 1 v)) 1/4)> |
#<alt (- (* 1/8 (/ 1 v)) 1/4)> |
#<alt (* 3/8 (* r w))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) (* -3/8 (* r w)))))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))) (* -1 (- (* -1/4 (* r w)) (* -3/8 (* r w))))))) (* -3/8 (* r w)))))> |
#<alt (* 1/4 (* r w))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))) (* -1/4 (/ (* r w) v)))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 2))) (* 1/4 (* r w)))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 2)))))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 3))) (* 1/4 (* r w)))) (+ (* -1 (/ (- (* -3/8 (* r w)) (* -1/4 (* r w))) (pow v 2))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 3))))))> |
#<alt (* 1/4 (* r w))> |
#<alt (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* r w)) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))> |
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt 9/2> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* w (- (* 1/8 (/ 1 v)) 1/4))> |
#<alt (* 1/8 (/ w v))> |
#<alt (/ (+ (* -1/4 (* v w)) (* 1/8 w)) v)> |
#<alt (/ (+ (* -1/4 (* v w)) (* 1/8 w)) v)> |
#<alt (/ (+ (* -1/4 (* v w)) (* 1/8 w)) v)> |
#<alt (* -1/4 w)> |
#<alt (+ (* -1/4 w) (* 1/8 (/ w v)))> |
#<alt (+ (* -1/4 w) (* 1/8 (/ w v)))> |
#<alt (+ (* -1/4 w) (* 1/8 (/ w v)))> |
#<alt (* -1/4 w)> |
#<alt (+ (* -1/4 w) (* 1/8 (/ w v)))> |
#<alt (+ (* -1/4 w) (* 1/8 (/ w v)))> |
#<alt (+ (* -1/4 w) (* 1/8 (/ w v)))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt (* 3/8 (* (pow r 2) w))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* 3/8 (* (pow r 2) (pow w 2)))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))> |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | w | @ | -inf | (* (+ (/ 1/8 v) -1/4) (* r w)) |
| 1.0ms | r | @ | 0 | (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) |
| 1.0ms | v | @ | inf | (* (* r r) (* w (* w (+ -1/4 (/ 1/8 v))))) |
| 1.0ms | w | @ | 0 | (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) |
| 1.0ms | v | @ | inf | (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) |
| 1× | egg-herbie |
| 19 570× | lower-fma.f64 |
| 19 570× | lower-fma.f32 |
| 5 684× | lower-*.f64 |
| 5 684× | lower-*.f32 |
| 2 654× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 424 | 12280 |
| 1 | 1398 | 11460 |
| 2 | 4887 | 11172 |
| 0 | 8205 | 10469 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
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(/ 2 r) |
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(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 1 r) |
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(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
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(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -3/8 (* (pow r 2) (pow w 2))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
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(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
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(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
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(- (* 2 (/ 1 (pow r 2))) 3/2) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2)) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2) |
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2) |
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* 1/8 (/ (* r w) v)) |
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v) |
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v) |
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v) |
(* -1/4 (* r w)) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(* -1/4 (* r w)) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(* r (* w (- (* 1/8 (/ 1 v)) 1/4))) |
(/ 1/8 v) |
(/ (+ 1/8 (* -1/4 v)) v) |
(/ (+ 1/8 (* -1/4 v)) v) |
(/ (+ 1/8 (* -1/4 v)) v) |
-1/4 |
(- (* 1/8 (/ 1 v)) 1/4) |
(- (* 1/8 (/ 1 v)) 1/4) |
(- (* 1/8 (/ 1 v)) 1/4) |
-1/4 |
(- (* 1/8 (/ 1 v)) 1/4) |
(- (* 1/8 (/ 1 v)) 1/4) |
(- (* 1/8 (/ 1 v)) 1/4) |
(* 3/8 (* r w)) |
(+ (* 3/8 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) |
(+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) (* -3/8 (* r w))))) |
(+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))) (* -1 (- (* -1/4 (* r w)) (* -3/8 (* r w))))))) (* -3/8 (* r w))))) |
(* 1/4 (* r w)) |
(- (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))) (* -1/4 (/ (* r w) v))) |
(- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 2))) (* 1/4 (* r w)))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 2))))) |
(- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 3))) (* 1/4 (* r w)))) (+ (* -1 (/ (- (* -3/8 (* r w)) (* -1/4 (* r w))) (pow v 2))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 3)))))) |
(* 1/4 (* r w)) |
(+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* r w)) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v))) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
9/2 |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
9/2 |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
3/2 |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
3/2 |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(* 1/8 (/ w v)) |
(/ (+ (* -1/4 (* v w)) (* 1/8 w)) v) |
(/ (+ (* -1/4 (* v w)) (* 1/8 w)) v) |
(/ (+ (* -1/4 (* v w)) (* 1/8 w)) v) |
(* -1/4 w) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(* -1/4 w) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
3/2 |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
3/2 |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
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(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
9/2 |
#s(literal 9/2 binary64) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* w (- (* 1/8 (/ 1 v)) 1/4)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* 1/8 (/ w v)) |
(/.f64 (*.f64 w #s(literal 1/8 binary64)) v) |
(/ (+ (* -1/4 (* v w)) (* 1/8 w)) v) |
(/.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 1/8 binary64))) v) |
(/ (+ (* -1/4 (* v w)) (* 1/8 w)) v) |
(/.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 1/8 binary64))) v) |
(/ (+ (* -1/4 (* v w)) (* 1/8 w)) v) |
(/.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 1/8 binary64))) v) |
(* -1/4 w) |
(*.f64 w #s(literal -1/4 binary64)) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* -1/4 w) |
(*.f64 w #s(literal -1/4 binary64)) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+ (* -1/4 w) (* 1/8 (/ w v))) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 r r) (*.f64 w #s(literal 3/8 binary64))) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(fma.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
| 4 976× | lower-fma.f32 |
| 4 966× | lower-fma.f64 |
| 4 828× | lower-*.f32 |
| 4 810× | lower-*.f64 |
| 3 380× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 452 |
| 0 | 102 | 449 |
| 1 | 496 | 415 |
| 2 | 4676 | 415 |
| 0 | 8695 | 387 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64))) |
(/.f64 #s(literal 2 binary64) r) |
(/.f64 #s(literal 1 binary64) r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) |
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)) |
#s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) |
(fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (+.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)))) |
(+.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(-.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64))) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))))) (/.f64 (*.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)) (+.f64 #s(literal 15/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) #s(literal 9 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w w)) #s(literal 9/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 15/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (fma.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (*.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))))))) |
(/.f64 (fma.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (*.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (fma.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))) |
(/.f64 (fma.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (*.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (fma.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))))) |
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(/.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v)))) |
(/.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) v) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 1/16 binary64))) |
(/.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v)))) |
(/.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(/.f64 (*.f64 w (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 v v)))) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) w) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) w) (fma.f64 (/.f64 #s(literal 1/8 binary64) v) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 1/16 binary64))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) w) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) v)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) w) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 v v))) w) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) w) |
(*.f64 r (*.f64 (*.f64 r #s(literal 3/8 binary64)) w)) |
(*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) |
(*.f64 w (*.f64 r (*.f64 r #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 r w) (*.f64 r #s(literal 3/8 binary64))) |
(*.f64 (*.f64 r r) (*.f64 #s(literal 3/8 binary64) w)) |
(*.f64 (*.f64 r (*.f64 r #s(literal 3/8 binary64))) w) |
(*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r w)) |
(*.f64 (*.f64 r (*.f64 r w)) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) |
(*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) |
(+.f64 #s(literal 3/2 binary64) (*.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))))) |
(+.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w)))) #s(literal 3/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w))))) (fma.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (fma.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64)))) |
(fma.f64 r (*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 w w)) #s(literal 3/2 binary64)) |
(fma.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/2 binary64)) |
(fma.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 r (*.f64 r #s(literal 3/8 binary64))) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal 3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r #s(literal 3/8 binary64))) (*.f64 w w) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) w #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w w)) (*.f64 r r) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 r (*.f64 r w)) (*.f64 #s(literal 3/8 binary64) w) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w w)) r) r #s(literal 3/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r (*.f64 r #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 w w) w)) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 w w) w)) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r (*.f64 r #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 w w) w)) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64)) (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 (*.f64 w w) (*.f64 (*.f64 r (*.f64 r #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64)) (fma.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 w w) w)) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64))) (neg.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r (*.f64 r #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64))) (neg.f64 (fma.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64)))) |
(/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))))) (-.f64 #s(literal 3/2 binary64) (*.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r (*.f64 r #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 w w) w)) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) w) (*.f64 (*.f64 w w) w)) (*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 (*.f64 r (*.f64 r #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))))) |
(*.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 w (*.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64)))) |
Compiled 39 255 to 1 941 computations (95.1% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 281 | 14 | 1 295 |
| Fresh | 11 | 11 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 296 | 28 | 1 324 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.9% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) |
| 74.2% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (fma.f64 r (*.f64 w #s(literal 3/8 binary64)) (*.f64 v (*.f64 #s(literal 1/8 binary64) (*.f64 r w))))) (*.f64 r w) #s(literal 9/2 binary64)))) | |
| ▶ | 94.9% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) |
| 42.5% | (/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) | |
| 91.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64)) | |
| 59.6% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| ▶ | 43.3% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| 94.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 42.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal 3/2 binary64)) (*.f64 r (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal 3/2 binary64))))) | |
| 40.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| 42.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))) | |
| ✓ | 40.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 89.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) | |
| ✓ | 82.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
| ▶ | 82.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
| 68.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) | |
| ✓ | 54.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
| 42.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) | |
| 34.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) | |
| 56.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) | |
| 36.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) | |
| 33.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) | |
| 33.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) | |
| 36.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) | |
| ▶ | 37.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
| 18.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) | |
| 34.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) | |
| 37.7% | #s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (*.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
Compiled 1 343 to 722 computations (46.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) | |
| cost-diff | 64 | (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64))) | |
| cost-diff | 704 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r) | |
| cost-diff | 0 | #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) | |
| cost-diff | 192 | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64))) | |
| cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 576 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) |
| 27 306× | lower-fma.f32 |
| 27 294× | lower-fma.f64 |
| 6 320× | lower-*.f32 |
| 6 296× | lower-*.f64 |
| 2 778× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 571 |
| 0 | 109 | 567 |
| 1 | 244 | 549 |
| 2 | 705 | 549 |
| 3 | 2610 | 549 |
| 4 | 6206 | 549 |
| 0 | 8252 | 528 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64))) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
w |
(*.f64 r w) |
#s(literal 9/2 binary64) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)) |
(*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r) |
(*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(*.f64 r w) |
r |
w |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) |
#s(literal -1/4 binary64) |
(/.f64 #s(literal 1/8 binary64) v) |
#s(literal 1/8 binary64) |
v |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64))) |
#s(literal 3 binary64) |
(fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)) |
#s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 r w)) |
#s(literal 1/4 binary64) |
(*.f64 r w) |
w |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) |
(+.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 w (*.f64 r (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64))))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64))) |
(fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 w (*.f64 r (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64))))) #s(literal -3/2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) |
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
(/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
w |
(*.f64 r w) |
#s(literal 9/2 binary64) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
(+.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w))))) |
(*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r) |
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))) |
(*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 w w))) |
(*.f64 r w) |
r |
w |
(*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) |
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) |
#s(literal -1/4 binary64) |
(/.f64 #s(literal 1/8 binary64) v) |
#s(literal 1/8 binary64) |
v |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)) |
(fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
(*.f64 r (*.f64 w w)) |
(*.f64 w w) |
w |
#s(literal 3/8 binary64) |
#s(literal 3/2 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
(/.f64 #s(literal 1 binary64) r) |
#s(literal 1 binary64) |
(-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64))) |
(fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 w (neg.f64 r)) #s(literal -3/2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal 9/2 binary64)) |
#s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) |
#s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 r w)) |
(*.f64 (*.f64 r w) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 r w) |
w |
#s(literal 9/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.020195019536884032 | (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64))) | |
| accuracy | 0.0859375 | (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)) | |
| accuracy | 0.10384750976844202 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) | |
| accuracy | 18.82931846707237 | #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 4.877233847300723 | (*.f64 r (*.f64 r (*.f64 w w))) | |
| accuracy | 5.946910778896522 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) | |
| accuracy | 8.5173999160152 | (*.f64 r (*.f64 w w)) | |
| accuracy | 0.9603914658515088 | (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) | |
| accuracy | 4.285531860819951 | (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r) | |
| accuracy | 10.655825316045863 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) | |
| accuracy | 30.15363032629504 | #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| accuracy | 0.7593846330307711 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 38.0121476923377 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| accuracy | 0.046875 | (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)) | |
| accuracy | 0.10384750976844202 | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) | |
| accuracy | 0.18359375 | (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) | |
| accuracy | 2.481786633690987 | (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
| 142.0ms | 256× | 0 | valid |
Compiled 485 to 67 computations (86.2% saved)
ival-mult: 39.0ms (51.1% of total)ival-div: 13.0ms (17% of total)ival-add: 12.0ms (15.7% of total)ival-sub: 11.0ms (14.4% of total)exact: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64))))> |
#<alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))> |
#<alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))> |
#<alt (/.f64 #s(literal 2 binary64) r)> |
#<alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))> |
#<alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))> |
#<alt (*.f64 r r)> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)))> |
#<alt #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))> |
#<alt (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)> |
#<alt (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))> |
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))> |
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))> |
#<alt (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64))))> |
#<alt (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) r)> |
#<alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w)> |
#<alt (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w))> |
#<alt (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64))> |
#<alt (*.f64 r (*.f64 w w))> |
#<alt (*.f64 r (*.f64 r (*.f64 w w)))> |
#<alt #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w)))> |
#<alt (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64))> |
| Outputs |
|---|
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt 3/8> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (+ 3/8 (* -1/4 v))> |
#<alt (* -1/4 v)> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))> |
#<alt (* -1/4 v)> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))> |
#<alt (* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt -3/2> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))> |
#<alt -3/2> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 r)> |
#<alt (/ 2 (pow r 2))> |
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))> |
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#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt -3/2> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt -3/2> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2)> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ 1 r)> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (* r w)> |
#<alt (+ (* r w) (* r (* v w)))> |
#<alt (+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w)))))> |
#<alt (+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w)))))> |
#<alt (* -1 (/ (* r w) v))> |
#<alt (/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)> |
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v)> |
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v)> |
#<alt (* -1 (/ (* r w) v))> |
#<alt (* -1 (/ (+ (* r w) (/ (* r w) v)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* r w) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))> |
#<alt (+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))> |
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))> |
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)> |
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)> |
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))> |
#<alt (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))> |
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))> |
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* r (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* (pow r 2) (pow w 2))> |
#<alt (* 3/8 (* r w))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) (* -3/8 (* r w)))))> |
#<alt (+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))) (* -1 (- (* -1/4 (* r w)) (* -3/8 (* r w))))))) (* -3/8 (* r w)))))> |
#<alt (* 1/4 (* r w))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))) (* -1/4 (/ (* r w) v)))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 2))) (* 1/4 (* r w)))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 2)))))> |
#<alt (- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 3))) (* 1/4 (* r w)))) (+ (* -1 (/ (- (* -3/8 (* r w)) (* -1/4 (* r w))) (pow v 2))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 3))))))> |
#<alt (* 1/4 (* r w))> |
#<alt (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* r w)) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w)))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2)))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))> |
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))> |
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))> |
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))> |
#<alt (+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt (+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))> |
#<alt 9/2> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt 9/2> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))> |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | 0 | (* (/ r (- 1 v)) w) |
| 1.0ms | w | @ | 0 | (* (/ r (- 1 v)) w) |
| 0.0ms | r | @ | -inf | (* (/ r (- 1 v)) w) |
| 0.0ms | r | @ | 0 | (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) |
| 0.0ms | w | @ | -inf | (* (/ r (- 1 v)) w) |
| 1× | egg-herbie |
| 14 052× | lower-fma.f64 |
| 14 052× | lower-fma.f32 |
| 3 962× | lower-+.f64 |
| 3 962× | lower-+.f32 |
| 3 822× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 613 | 14231 |
| 1 | 2069 | 13203 |
| 2 | 7055 | 13159 |
| 0 | 8264 | 12383 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v) |
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(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* -3/8 (* (pow r 2) (pow w 2))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* -1 (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
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(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
-3/2 |
(- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2) |
(- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2) |
(- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
-3/2 |
(- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2) |
(- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2) |
(- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(* -1 (* (pow w 2) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ 1 r) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(* r w) |
(+ (* r w) (* r (* v w))) |
(+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w))))) |
(+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w))))) |
(* -1 (/ (* r w) v)) |
(/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v) |
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v) |
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v) |
(* -1 (/ (* r w) v)) |
(* -1 (/ (+ (* r w) (/ (* r w) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* r w) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
9/2 |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
9/2 |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 3/8 (* r w)) |
(+ (* 3/8 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) |
(+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* -1/4 (* r w)) (* -3/8 (* r w))))) (* -3/8 (* r w))))) |
(+ (* 3/8 (* r w)) (* v (- (+ (* -1/4 (* r w)) (* v (- (* v (- (* -1/4 (* r w)) (* -3/8 (* r w)))) (* -1 (- (* -1/4 (* r w)) (* -3/8 (* r w))))))) (* -3/8 (* r w))))) |
(* 1/4 (* r w)) |
(- (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w))) (* -1/4 (/ (* r w) v))) |
(- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 2))) (* 1/4 (* r w)))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 2))))) |
(- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 3))) (* 1/4 (* r w)))) (+ (* -1 (/ (- (* -3/8 (* r w)) (* -1/4 (* r w))) (pow v 2))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 3)))))) |
(* 1/4 (* r w)) |
(+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* r w)) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v))) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
9/2 |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
9/2 |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(*.f64 (*.f64 r r) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 2))) (* 1/4 (* r w)))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 2))))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 r (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v)))) (fma.f64 r (*.f64 w #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 r (+.f64 w (/.f64 w v))) v))))) |
(- (+ (* -3/8 (/ (* r w) v)) (+ (* -3/8 (/ (* r w) (pow v 3))) (* 1/4 (* r w)))) (+ (* -1 (/ (- (* -3/8 (* r w)) (* -1/4 (* r w))) (pow v 2))) (+ (* -1/4 (/ (* r w) v)) (* -1/4 (/ (* r w) (pow v 3)))))) |
(-.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 r (+.f64 (/.f64 w v) (/.f64 w (*.f64 v (*.f64 v v))))) (*.f64 w (*.f64 r #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (+.f64 (/.f64 w v) (/.f64 w (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) (*.f64 v v)))) |
(* 1/4 (* r w)) |
(*.f64 w (*.f64 r #s(literal 1/4 binary64))) |
(+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(fma.f64 r (*.f64 w #s(literal 1/4 binary64)) (/.f64 (*.f64 r (*.f64 w #s(literal -1/8 binary64))) v)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* r w)) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(fma.f64 r (*.f64 w #s(literal 1/4 binary64)) (/.f64 (fma.f64 r (*.f64 w #s(literal -1/8 binary64)) (/.f64 (*.f64 r (*.f64 w #s(literal -1/8 binary64))) v)) v)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) (* 3/8 (* r w))) v)) (* 3/8 (* r w))) (* 1/4 (* r w))) v)) (* 1/4 (* r w))) |
(-.f64 (*.f64 w (*.f64 r #s(literal 1/4 binary64))) (/.f64 (fma.f64 r (*.f64 w #s(literal 1/8 binary64)) (/.f64 (fma.f64 r (*.f64 w #s(literal 1/8 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) v)) v)) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))) #s(literal 9/2 binary64)) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal 3/8 binary64)))) (fma.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (*.f64 w (*.f64 w v)) #s(literal 9/2 binary64))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) |
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2))))))) |
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal 3/8 binary64)))) (fma.f64 v (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64)))) #s(literal 9/2 binary64))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal -1/8 binary64) v) #s(literal 9/2 binary64))) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v))) (neg.f64 v)) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w (*.f64 v v)) (/.f64 (*.f64 w w) v))) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)))) |
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) |
(-.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (/.f64 (*.f64 w w) (*.f64 v (*.f64 v v))))) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (/.f64 (*.f64 w w) (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (*.f64 v v)))) |
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)) |
(+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal -1/8 binary64) v) #s(literal 9/2 binary64))) |
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v)))) v)) |
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64)))) v)) |
9/2 |
#s(literal 9/2 binary64) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 r r) (fma.f64 w (/.f64 (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 r r)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 r r) (fma.f64 w (/.f64 (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 r r)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 r r) (fma.f64 w (/.f64 (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 r r)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 r r) (fma.f64 w (/.f64 (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 r r)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 r r) (fma.f64 w (/.f64 (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 r r)))) |
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 r r) (fma.f64 w (/.f64 (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 r r)))) |
9/2 |
#s(literal 9/2 binary64) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) |
(fma.f64 (*.f64 r r) (/.f64 (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 w w)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 w w)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 w w)))) |
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)) |
(/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 w w)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 w w)))) |
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))) |
(*.f64 (*.f64 w w) (fma.f64 (*.f64 r r) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 9/2 binary64) (*.f64 w w)))) |
| 5 196× | lower-*.f32 |
| 5 172× | lower-*.f64 |
| 4 828× | lower-fma.f32 |
| 4 816× | lower-fma.f64 |
| 3 636× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 474 |
| 0 | 109 | 468 |
| 1 | 517 | 420 |
| 2 | 5111 | 420 |
| 0 | 9364 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64))) |
(/.f64 #s(literal 2 binary64) r) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)) |
(*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r) |
(*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64))) |
(/.f64 #s(literal 1 binary64) r) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)) |
(*.f64 r (*.f64 w w)) |
(*.f64 r (*.f64 r (*.f64 w w))) |
#s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) |
(fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (+.f64 (fma.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) |
(+.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 r (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) w) w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) |
(+.f64 #s(literal -9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) |
(-.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(literal 3 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 3 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 81/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))))) (/.f64 (*.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 (/.f64 (*.f64 r (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) w) w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) #s(literal -9/2 binary64)) |
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 #s(literal 15/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (-.f64 #s(literal -3/2 binary64) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
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(+.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) |
(+.f64 (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal -9/2 binary64))) (/.f64 #s(literal 81/4 binary64) (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal -9/2 binary64)))) |
(fma.f64 r (*.f64 w #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(fma.f64 w (*.f64 r #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 r w) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 r #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) w #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) w) r #s(literal 9/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) (-.f64 #s(literal 81/4 binary64) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(literal 9/2 binary64))))) (fma.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 729/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal -9/2 binary64)) (fma.f64 (*.f64 r w) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) #s(literal -81/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 729/8 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) (-.f64 #s(literal 81/4 binary64) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(literal 9/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 729/8 binary64)) (+.f64 #s(literal 81/4 binary64) (-.f64 (*.f64 (*.f64 r w) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(literal 9/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 r w) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) #s(literal -81/4 binary64)) (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal -9/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 729/8 binary64))) (neg.f64 (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) (-.f64 #s(literal 81/4 binary64) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(literal 9/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 r w) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) #s(literal -81/4 binary64))) (neg.f64 (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal -9/2 binary64)))) |
(/.f64 (-.f64 #s(literal 81/4 binary64) (*.f64 (*.f64 r w) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))))) (-.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) (-.f64 #s(literal 81/4 binary64) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(literal 9/2 binary64))))) (fma.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 729/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal -9/2 binary64)) (fma.f64 (*.f64 r w) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) #s(literal -81/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) #s(literal 729/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))) (-.f64 #s(literal 81/4 binary64) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(literal 9/2 binary64))))))) |
(*.f64 (fma.f64 (*.f64 r w) (*.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal -9/2 binary64)))) |
Compiled 43 415 to 2 329 computations (94.6% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 330 | 8 | 1 338 |
| Fresh | 6 | 14 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 340 | 26 | 1 366 |
| Status | Accuracy | Program |
|---|---|---|
| 90.5% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 r (*.f64 w #s(literal 3/8 binary64)))) (*.f64 r w) #s(literal 9/2 binary64)))) | |
| 87.7% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) | |
| 94.9% | (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) | |
| 48.0% | (/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) (*.f64 r r))) | |
| 91.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64)) | |
| ✓ | 43.3% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| 94.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 42.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal 3/2 binary64)) (*.f64 r (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal 3/2 binary64))))) | |
| 40.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| 42.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))) | |
| ✓ | 40.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 89.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) | |
| 89.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) | |
| 68.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) | |
| ✓ | 54.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
| 42.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) | |
| 34.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) | |
| 56.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) | |
| 42.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) | |
| 36.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) | |
| 33.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) | |
| 36.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) | |
| ✓ | 37.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
| 34.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) | |
| 38.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) | |
| 35.5% | #s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (neg.f64 r))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
Compiled 2 086 to 611 computations (70.7% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (*.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (neg.f64 r))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 r (*.f64 w #s(literal 3/8 binary64)))) (*.f64 r w) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (fma.f64 r (*.f64 w #s(literal 3/8 binary64)) (*.f64 v (*.f64 #s(literal 1/8 binary64) (*.f64 r w))))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (*.f64 (*.f64 r r) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64)))) (*.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))) (*.f64 r r))) |
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal 3/2 binary64)) (*.f64 r (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))) #s(literal -9/4 binary64)))) (*.f64 r (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal 3/2 binary64))))) |
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64)) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (*.f64 r r) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
6 calls:
| 23.0ms | v |
| 20.0ms | w |
| 19.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 19.0ms | r |
| 16.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | v |
| 99.7% | 1 | w |
| 99.7% | 1 | r |
| 99.7% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 99.7% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.7% | 1 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (*.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (neg.f64 r))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 r (*.f64 w #s(literal 3/8 binary64)))) (*.f64 r w) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (fma.f64 r (*.f64 w #s(literal 3/8 binary64)) (*.f64 v (*.f64 #s(literal 1/8 binary64) (*.f64 r w))))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 r w)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) |
6 calls:
| 76.0ms | r |
| 42.0ms | w |
| 14.0ms | v |
| 14.0ms | (*.f64 w w) |
| 13.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | v |
| 99.8% | 2 | w |
| 99.8% | 2 | r |
| 97.6% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 97.6% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.5% | 2 | (*.f64 w w) |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (*.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (neg.f64 r))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 r (*.f64 w #s(literal 3/8 binary64)))) (*.f64 r w) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (fma.f64 r (*.f64 w #s(literal 3/8 binary64)) (*.f64 v (*.f64 #s(literal 1/8 binary64) (*.f64 r w))))) (*.f64 r w) #s(literal 9/2 binary64)))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
2 calls:
| 36.0ms | w |
| 33.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | r |
| 99.8% | 2 | w |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (*.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (neg.f64 r))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 #s(literal 1/4 binary64) (*.f64 r w))) (*.f64 r w) #s(literal 9/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 r (*.f64 w #s(literal 3/8 binary64)))) (*.f64 r w) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
3 calls:
| 30.0ms | r |
| 14.0ms | w |
| 11.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | r |
| 94.9% | 1 | (*.f64 w w) |
| 94.9% | 1 | w |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (*.f64 (*.f64 w w) (*.f64 (neg.f64 (*.f64 r r)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))) |
#s(approx (+ (* (/ 2 r) (/ 1 r)) (- 3 (+ (* (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (* r w)) 9/2))) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r (neg.f64 r))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
4 calls:
| 15.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 13.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 12.0ms | v |
| 11.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | v |
| 94.9% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 94.9% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 94.9% | 1 | r |
Compiled 70 to 48 computations (31.4% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
6 calls:
| 19.0ms | (*.f64 w w) |
| 9.0ms | r |
| 9.0ms | v |
| 9.0ms | w |
| 9.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 2 | w |
| 92.7% | 2 | r |
| 92.1% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.1% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 92.6% | 2 | (*.f64 w w) |
| 91.0% | 2 | v |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) |
5 calls:
| 11.0ms | (*.f64 w w) |
| 9.0ms | r |
| 9.0ms | w |
| 8.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 7.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.1% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 91.5% | 2 | w |
| 91.5% | 2 | (*.f64 w w) |
| 91.5% | 2 | r |
Compiled 76 to 52 computations (31.6% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))) |
5 calls:
| 10.0ms | w |
| 9.0ms | r |
| 8.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 7.0ms | (*.f64 w w) |
| 7.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 2 | w |
| 91.0% | 2 | (*.f64 w w) |
| 91.1% | 2 | r |
| 91.5% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 91.5% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 76 to 52 computations (31.6% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) |
1 calls:
| 10.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64)))) |
1 calls:
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 2 | r |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
6 calls:
| 43.0ms | w |
| 9.0ms | r |
| 8.0ms | (*.f64 w w) |
| 7.0ms | v |
| 6.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 91.1% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 88.9% | 2 | w |
| 88.9% | 2 | (*.f64 w w) |
| 83.7% | 1 | v |
| 87.3% | 2 | r |
Compiled 80 to 55 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w #s(approx (* w (+ -1/4 (/ 1/8 v))) (*.f64 w #s(literal -1/4 binary64))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r w))) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r (*.f64 r (*.f64 w w)))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* r (* r (* w w))) 3/8) 3/2)) (*.f64 (fma.f64 w (*.f64 w #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 r r))) (*.f64 r (neg.f64 r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
2 calls:
| 7.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 6.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 89.0% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 42 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
6 calls:
| 3.0ms | r |
| 2.0ms | v |
| 2.0ms | w |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 2.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 1 | v |
| 54.6% | 1 | r |
| 54.6% | 1 | (*.f64 w w) |
| 54.6% | 1 | w |
| 54.6% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 54.6% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 80 to 55 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
6 calls:
| 3.0ms | w |
| 1.0ms | v |
| 1.0ms | r |
| 1.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 1.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.2% | 1 | v |
| 40.2% | 1 | w |
| 40.2% | 1 | (*.f64 w w) |
| 40.2% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 40.2% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 40.2% | 1 | r |
Compiled 80 to 55 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.52592718442695e+183 | 1.5293583435872986e+188 |
| 14.0ms | 128× | 0 | valid |
Compiled 475 to 332 computations (30.1% saved)
ival-mult: 6.0ms (58.9% of total)ival-div: 2.0ms (19.6% of total)ival-sub: 2.0ms (19.6% of total)ival-add: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 9.534945144535489e+157 | 1.4562372795025715e+158 |
| 3.0ms | 32× | 0 | valid |
Compiled 141 to 98 computations (30.5% saved)
ival-sub: 1.0ms (42.2% of total)ival-mult: 1.0ms (42.2% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 2.2573912296911795e-7 | 3.017532703542888e-6 |
| 37.0ms | 96× | 0 | valid |
Compiled 329 to 220 computations (33.1% saved)
ival-mult: 31.0ms (88.8% of total)ival-sub: 2.0ms (5.7% of total)ival-div: 1.0ms (2.9% of total)ival-add: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 8.334528535721893e-28 | 1.5239030775688605e-18 |
| 16.0ms | -4.161883568370681e-36 | -2.0842225729033496e-38 |
| 26.0ms | 256× | 0 | valid |
Compiled 723 to 460 computations (36.4% saved)
ival-mult: 10.0ms (52.7% of total)ival-sub: 4.0ms (21.1% of total)ival-div: 3.0ms (15.8% of total)ival-add: 1.0ms (5.3% of total)exact: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.6137525855706854e+51 | 6.290795593963731e+52 |
| 10.0ms | 96× | 0 | valid |
Compiled 287 to 190 computations (33.8% saved)
ival-mult: 4.0ms (55.5% of total)ival-sub: 2.0ms (27.8% of total)ival-div: 1.0ms (13.9% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.4737513800095447e+282 |
Compiled 35 to 28 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.6137525855706854e+51 | 6.290795593963731e+52 |
Compiled 287 to 190 computations (33.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.6137525855706854e+51 | 6.290795593963731e+52 |
Compiled 287 to 190 computations (33.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.6137525855706854e+51 | 6.290795593963731e+52 |
Compiled 287 to 190 computations (33.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.77495707544014e+19 | 2.940927970377228 |
| 0.0ms | -inf | -1.4737513800095447e+282 |
Compiled 35 to 28 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.77495707544014e+19 | 2.940927970377228 |
Compiled 35 to 28 computations (20% saved)
| 1× | egg-herbie |
| 490× | unsub-neg_binary64 |
| 308× | neg-mul-1_binary64 |
| 142× | distribute-lft-neg-in_binary64 |
| 138× | *-commutative_binary64 |
| 126× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1335 |
| 1 | 235 | 1335 |
| 2 | 316 | 1335 |
| 3 | 381 | 1335 |
| 4 | 449 | 1335 |
| 5 | 509 | 1335 |
| 6 | 694 | 1335 |
| 7 | 1051 | 1335 |
| 8 | 1247 | 1335 |
| 9 | 1264 | 1335 |
| 10 | 1265 | 1335 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
(if (<=.f64 w #s(literal 1349999999999999942291310229245184663062188112114085102955933597261031986950857096583838153111843763167099588957429782028745737928183354154885830913493765668624342942710100905794046263296 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))))) |
(if (<=.f64 w #s(literal 120000000000000004100266764118928932664426762441874405279271661127777989121912443312081522615867375807621344147206328779641115728277059190687688743049062514688 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 r #s(literal 1770887431076117/590295810358705651712 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal -2993155353253689/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 v #s(literal 7788445287802241/5192296858534827628530496329220096 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -40000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -40000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 r w) #s(literal 9/2 binary64)))) |
(if (<=.f64 w #s(literal 1349999999999999942291310229245184663062188112114085102955933597261031986950857096583838153111843763167099588957429782028745737928183354154885830913493765668624342942710100905794046263296 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))))) |
(if (<=.f64 w #s(literal 1349999999999999942291310229245184663062188112114085102955933597261031986950857096583838153111843763167099588957429782028745737928183354154885830913493765668624342942710100905794046263296 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (+.f64 v #s(literal -1 binary64))))) #s(literal 9/2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) #s(approx (* (/ (+ (* v -1/4) 3/8) (- 1 v)) (* r w)) (*.f64 (*.f64 r w) #s(literal 1/4 binary64))))))) |
(if (<=.f64 w #s(literal 120000000000000004100266764118928932664426762441874405279271661127777989121912443312081522615867375807621344147206328779641115728277059190687688743049062514688 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 w #s(literal 120000000000000004100266764118928932664426762441874405279271661127777989121912443312081522615867375807621344147206328779641115728277059190687688743049062514688 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 r #s(literal 1770887431076117/590295810358705651712 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 1770887431076117/590295810358705651712 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 (+.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (+.f64 v #s(literal -1 binary64))))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal -2993155353253689/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 v #s(literal 7788445287802241/5192296858534827628530496329220096 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))) |
(if (<=.f64 v #s(literal -2993155353253689/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 7788445287802241/5192296858534827628530496329220096 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) #s(approx (+ (/ 1/8 v) -1/4) #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r w)) r) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))) |
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r #s(literal 3/8 binary64)))) w #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 61999999999999999579698817810420934540625923400531968 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w)) #s(literal 3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -40000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))) |
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -40000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) (*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 w w))))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -40000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) r))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -40000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (*.f64 r #s(approx (* (* r w) (* w (+ -1/4 (/ 1/8 v)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 19 570× | lower-fma.f64 |
| 19 570× | lower-fma.f32 |
| 17 540× | lower-fma.f64 |
| 17 540× | lower-fma.f32 |
| 14 382× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 613 | 14231 |
| 1 | 2069 | 13203 |
| 2 | 7055 | 13159 |
| 0 | 8264 | 12383 |
| 0 | 424 | 12280 |
| 1 | 1398 | 11460 |
| 2 | 4887 | 11172 |
| 0 | 8205 | 10469 |
| 0 | 60 | 381 |
| 0 | 95 | 373 |
| 1 | 453 | 326 |
| 2 | 3958 | 326 |
| 0 | 9635 | 304 |
| 0 | 69 | 452 |
| 0 | 102 | 449 |
| 1 | 496 | 415 |
| 2 | 4676 | 415 |
| 0 | 8695 | 387 |
| 0 | 74 | 474 |
| 0 | 109 | 468 |
| 1 | 517 | 420 |
| 2 | 5111 | 420 |
| 0 | 9364 | 398 |
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 0 | 355 | 12070 |
| 1 | 1167 | 11162 |
| 2 | 3914 | 10510 |
| 0 | 8275 | 9872 |
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2580 | 3578 |
| 0 | 8212 | 3390 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 452 to 634 computations (56.3% saved)
(abs r)
Compiled 1 946 to 676 computations (65.3% saved)
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